Results 1 to 5 of 5

Math Help - Cylindrical Coordinates and vectors

  1. #1
    Senior Member
    Joined
    Jul 2006
    From
    Shabu City
    Posts
    381

    Cylindrical Coordinates and vectors

    i am not sure what to do because this problem has two origins which is not discussed in my electromagnetics book:
    cyl coordiinates (rho,phi,z)
    Given:
    \vec{A} = 3\vec{a}_{\rho A} + 5\vec{a}_{\phi A} + 2\vec{a}_{zA} at point (5, 30 degrees, 7)

    \vec{B} = 5\vec{a}_{\rho B} + 5\vec{a}_{\phi B} + 2\vec{a}_{zB} at point (2, 45 degrees, 7)

    Find:
    \vec{A} dot    \vec{B}
    \vec{A} + \vec{B}
    \vec{A} X \vec{B}


    can you do at least one, (hardest which is cross product)
    thanks
    Last edited by ^_^Engineer_Adam^_^; June 19th 2008 at 07:57 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by ^_^Engineer_Adam^_^ View Post
    i am not sure what to do because this problem has two origins which is not discussed in my electromagnetics book:
    cyl coordiinates (rho,phi,z)
    Given:
    \vec{A} = 3\vec{a}_{\rho A} + 5\vec{a}_{\phi A} + 2\vec{a}_{zA} at point (5, 30 degrees, 7)

    \vec{B} = 5\vec{a}_{\rho B} + 5\vec{a}_{\phi B} + 2\vec{a}_{zB} at point (2, 45 degrees, 7)

    Find:
    \vec{A} dot \vec{B}
    \vec{A} + \vec{B}
    \vec{A} X \vec{B}


    can you do at least one, (hardest which is cross product)
    thanks
    The determinant representation of the cross product also works with \rho, \phi and z unit vectors ......
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member
    Joined
    Jul 2006
    From
    Shabu City
    Posts
    381
    shall i instantly cross product this ignoring its origins?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by ^_^Engineer_Adam^_^ View Post
    shall i instantly cross product this ignoring its origins?
    Why not? The result will be a vector in cylindrical coordinates.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    10,185
    Thanks
    404
    Awards
    1
    Quote Originally Posted by ^_^Engineer_Adam^_^ View Post
    i am not sure what to do because this problem has two origins which is not discussed in my electromagnetics book:
    cyl coordiinates (rho,phi,z)
    Given:
    \vec{A} = 3\vec{a}_{\rho A} + 5\vec{a}_{\phi A} + 2\vec{a}_{zA} at point (5, 30 degrees, 7)

    \vec{B} = 5\vec{a}_{\rho B} + 5\vec{a}_{\phi B} + 2\vec{a}_{zB} at point (2, 45 degrees, 7)

    Find:
    \vec{A} dot    \vec{B}
    \vec{A} + \vec{B}
    \vec{A} X \vec{B}


    can you do at least one, (hardest which is cross product)
    thanks
    Worst comes to worst you can convert them to Cartesian coordinates, do the product, then convert back.

    -Dan
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. cylindrical coordinates
    Posted in the Calculus Forum
    Replies: 3
    Last Post: October 22nd 2010, 10:31 PM
  2. Replies: 6
    Last Post: August 30th 2010, 04:34 PM
  3. Covert Cartesian coordinates eq. into Cylindrical coordinates
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: August 6th 2010, 07:56 AM
  4. cylindrical coordinates
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 23rd 2009, 12:08 AM
  5. Cylindrical Coordinates
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 28th 2008, 03:54 PM

Search Tags


/mathhelpforum @mathhelpforum